Question

Qual o polinômio que expressa a soma entre x² – 9x + 5 e 3x² + 7x – 1 *


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Answer 1

✅ Após resolver os cálculos, concluímos que a soma dos referidos polinômios é:

    $\Large\displaystyle\text{ \begin{gathered}\boxed{\boxed{\:\:\:\bf S(x) = 4x^{2} - 2x + 4\:\:\:}}\end{gathered} }$

Sejam os polinômios:

        $\Large\begin{cases} P(x) = x^{2} - 9x + 5\\Q(x) = 3x^{2} + 7x - 1\end{cases}$

Calculando a soma dos polinômios, temos:

       $\Large\displaystyle\begin{gathered} S(x) = P(x) + Q(x)\end{gathered}$

                   $\Large\displaystyle\begin{gathered} = (x^{2} - 9x + 5) + (3x^{2} + 7x - 1)\end{gathered}$

                   $\Large\displaystyle\begin{gathered} = x^{2} - 9x + 5 + 3x^{2} + 7x - 1\end{gathered}$

                   $\Large\displaystyle\begin{gathered} = 4x^{2} -2x + 4\end{gathered}$

✅ Portanto, a soma dos polinômios é:

       $\Large\displaystyle\begin{gathered} S(x) = 4x^{2} - 2x + 4\end{gathered}$

$\LARGE\displaystyle\text{ \begin{gathered} \underline{\boxed{\boldsymbol{\:\:\:Bons \:estudos!!\:\:\:Boa\: sorte!!\:\:\:}}}\end{gathered} }$

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